Solve y=117(3t^2-12t+13)

$$y = 117 ( 3 t ^ { 2 } - 12 t + 13 )$$

Solve for y

$$y=351t^{2}-1404t+1521$$

Solution Steps

Use the distributive property to multiply 117 by 3t^{2}-12t+13.

$$y=351t^{2}-1404t+1521$$

Solve for t (complex solution)

$$t=\frac{\sqrt{39y-4563}}{117}+2$$

$$t=-\frac{\sqrt{39y-4563}}{117}+2$$

Solve for t

$$t=\frac{\sqrt{39y-4563}}{117}+2$$

$$t=-\frac{\sqrt{39y-4563}}{117}+2\text{, }y\geq 117$$